In a geometric sequence, the first term is and the common ratio is . What is the 4th term of the sequence? The 4th term is ______.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to handle negative and fractional common ratios in the explicit formula for the nth term of a geometric sequence. The given values are the first term and the common ratio , and the student needs to find the 4th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). This formula is applicable even when the common ratio is negative or a fraction.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula:
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